1.

यदि `x=a(t+sint)` और `y=a(1-cost),` तो `(dy)/(dx)` ज्ञात कीजिए ।

Answer» `x=a(t+sint)`
`rArr" "(dx)/(dt)=a(1+cost)`
और `" "y=a(1-cost)`
`rArr" "(dy)/(dt)=a(0+sint)=asint`
`therefore" "(dy)/(dx)=(dy//dt)/(dx//dt)=(a sint)/(a(1+cost))`
`=(2sin.(t)/(2)cos.(t)/(2))/(2cos^(2).(t)/(2))=tan.(t)/(2)`


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